PHY1022 : Vibrations, Waves and AC Theory
- Offered for Year: 2019/20
- Module Leader(s): Dr Sirio Orozco Fuentes
- Owning School: Mathematics, Statistics and Physics
- Teaching Location: Newcastle City Campus
Semesters
| Semester 1 Credit Value: | 10 |
| ECTS Credits: | 5.0 |
Aims
To present the dynamics of simple and damped harmonic oscillators and to give examples of systems exhibiting this behaviour. To present the impact of a driving force on this motion and the phenomenon and description of resonance.
To present techniques needed for analysis DC and AC circuits. To impart an appreciation of the analogy between AC circuits analysis and mechanical oscillations.
To present an introduction to the subject of coupled oscillations, with an introduction to normal mode analysis.
To present an introduction to wave propagation and an introduction to the wave equation. To introduce phase and group velocities and the Doppler effect.
To present a study of the transmission and reflection of waves at interfaces.
Outline Of Syllabus
Harmonic motion: dynamics and mechanical origin.
Damping, quantification of damping.
Forced harmonic motion. Resonance
Superposition of SHM: beats.
Elementary analysis of DC and AC electrical circuits. Analog of mechanical system.
Coupled oscillations and normal modes. Physical concept of superposing normal modes and Fourier series.
Wave motion and the wave equation in one dimension. D’Alembert’s solution of the wave equation.
Waves on strings, sound waves and electromagnetic waves.
Group and phase velocity.
Reflection and transmission at interfaces.
The Doppler effect
Teaching Methods
Teaching Activities
| Category | Activity | Number | Length | Student Hours | Comment |
|---|---|---|---|---|---|
| Guided Independent Study | Assessment preparation and completion | 12 | 2:30 | 30:00 | Problem Solving Exercises |
| Guided Independent Study | Assessment preparation and completion | 24 | 0:30 | 12:00 | Revision for final exam |
| Guided Independent Study | Assessment preparation and completion | 1 | 1:30 | 1:30 | Final Exam |
| Scheduled Learning And Teaching Activities | Lecture | 6 | 1:00 | 6:00 | In class tutorials |
| Scheduled Learning And Teaching Activities | Lecture | 18 | 1:00 | 18:00 | Formal lectures |
| Scheduled Learning And Teaching Activities | Drop-in/surgery | 12 | 1:00 | 12:00 | Office hours to support the course content and preparation of in-course assessed problems |
| Guided Independent Study | Independent study | 1 | 20:30 | 20:30 | Reviewing lecture notes; background reading; tutorial sheets |
| Total | 100:00 |
Teaching Rationale And Relationship
Lectures provide core material and guidance for further reading, problem solving practice is provided through tutorials and continually assessed exercises.
Office hours provide opportunities for additional review of course content and support for problem solving on an individual basis.
Assessment Methods
The format of resits will be determined by the Board of Examiners
Exams
| Description | Length | Semester | When Set | Percentage | Comment |
|---|---|---|---|---|---|
| Written Examination | 120 | 1 | A | 90 | N/A |
Other Assessment
| Description | Semester | When Set | Percentage | Comment |
|---|---|---|---|---|
| Prob solv exercises | 1 | M | 10 | Weekly problem solving exercises |
Assessment Rationale And Relationship
The examination provides the opportunity for the student to demonstrate their understanding of the course material. The problem solving aspects of the assessment enable students to demonstrate that they are able to apply this understanding and their analysis and synthesis skills to novel situations. Problems are set and assessed during the module to enhance the understanding of the material and nurture the progressive acquisition of skills in solving illustrative problems.
Reading Lists
Timetable
- Timetable Website: www.ncl.ac.uk/timetable/
- PHY1022's Timetable